Properties

Label 227154.u
Number of curves $1$
Conductor $227154$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 227154.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227154.u1 227154d1 \([1, 0, 0, -248835, 47271489]\) \(70593496254289/824180736\) \(19893719383670784\) \([]\) \(2411136\) \(1.9397\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227154.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 227154.u do not have complex multiplication.

Modular form 227154.2.a.u

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + 3 q^{7} + q^{8} + q^{9} + q^{10} - q^{11} + q^{12} - 2 q^{13} + 3 q^{14} + q^{15} + q^{16} + q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display